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Simplifying 5 = 6(x + -1) + 5 + -5x Reorder the terms: 5 = 6(-1 + x) + 5 + -5x 5 = (-1 * 6 + x * 6) + 5 + -5x 5 = (-6 + 6x) + 5 + -5x Reorder the terms: 5 = -6 + 5 + 6x + -5x Combine like terms: -6 + 5 = -1 5 = -1 + 6x + -5x Combine like terms: 6x + -5x = 1x 5 = -1 + 1x Solving 5 = -1 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 5 + -1x = -1 + 1x + -1x Combine like terms: 1x + -1x = 0 5 + -1x = -1 + 0 5 + -1x = -1 Add '-5' to each side of the equation. 5 + -5 + -1x = -1 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = -1 + -5 -1x = -1 + -5 Combine like terms: -1 + -5 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6
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